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Finding the Third Proportional to 713,767.50 and 1,545,144.75

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Solution

The third proportional to 713,767.50 and 1,545,144.75 is: 3,344,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,767.50 : 1,545,144.75 = 1,545,144.75 : x
  2. Step 2: Convert to fraction form
    713,767.50/1,545,144.75 = 1,545,144.75/x
  3. Step 3: Cross multiply
    713,767.50x = 1,545,144.75 × 1,545,144.75
  4. Step 4: Simplify right side
    713,767.50x = 2,387,472,298,452.56
  5. Step 5: Solve for x
    x = 2,387,472,298,452.56/713,767.50
  6. Step 6: Final answer
    x = 3,344,887.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.